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Finite-horizon probabilistic multiagent concurrent game systems, also known as finite multiplayer stochastic games, are a well-studied model in computer science due to their ability to represent a wide range of real-world scenarios…

Computer Science and Game Theory · Computer Science 2026-05-27 Senthil Rajasekaran , Moshe Y. Vardi

Strategy logic (SL) is a powerful temporal logic that enables strategic reasoning in multi-agent systems. SL supports explicit (first-order) quantification over strategies and provides a logical framework to express many important…

Multiagent Systems · Computer Science 2024-03-21 Raven Beutner , Bernd Finkbeiner

The distributed computation of equilibria and optima has seen growing interest in a broad collection of networked problems. We consider the computation of equilibria of convex stochastic Nash games characterized by a possibly nonconvex…

Optimization and Control · Mathematics 2019-08-05 Jinlong Lei , Uday V. Shanbhag

Probabilistic model checking for stochastic games enables formal verification of systems that comprise competing or collaborating entities operating in a stochastic environment. Despite good progress in the area, existing approaches focus…

Logic in Computer Science · Computer Science 2019-07-09 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Stochastic games are a convenient formalism for modelling systems that comprise rational agents competing or collaborating within uncertain environments. Probabilistic model checking techniques for this class of models allow us to formally…

Logic in Computer Science · Computer Science 2022-11-14 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

We study a class of two-player competitive concurrent stochastic games on graphs with reachability objectives. Specifically, player 1 aims to reach a subset $F_1$ of game states, and player 2 aims to reach a subset $F_2$ of game states…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Chongyang Shi , Shuo Han , Jie Fu

We study turn-based stochastic zero-sum games with lexicographic preferences over reachability and safety objectives. Stochastic games are standard models in control, verification, and synthesis of stochastic reactive systems that exhibit…

Computer Science and Game Theory · Computer Science 2022-07-21 Krishnendu Chatterjee , Joost-Pieter Katoen , Maximilian Weininger , Tobias Winkler

We study pure-strategy Nash equilibria in multi-player concurrent deterministic games, for a variety of preference relations. We provide a novel construction, called the suspect game, which transforms a multi-player concurrent game into a…

Logic in Computer Science · Computer Science 2017-01-11 Patricia Bouyer , Romain Brenguier , Nicolas Markey , Michael Ummels

We study time-inconsistent recursive stochastic control problems, i.e., for which the Bellman principle of optimality does not hold. For this class of problems classical optimal controls may fail to exist, or to be relevant in practice, and…

Optimization and Control · Mathematics 2024-03-14 Elisa Mastrogiacomo , Marco Tarsia

Game-theoretic concepts have been extensively studied in economics to provide insight into competitive behaviour and strategic decision making. As computing systems increasingly involve concurrently acting autonomous agents, game-theoretic…

Formal Languages and Automata Theory · Computer Science 2022-07-01 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos , Rui Yan

The distributed computation of Nash equilibria is assuming growing relevance in engineering where such problems emerge in the context of distributed control. Accordingly, we present schemes for computing equilibria of two classes of static…

Optimization and Control · Mathematics 2017-10-17 Hao Jiang , Uday V. Shanbhag , Sean P. Meyn

Differences in perception, information asymmetries, and bounded rationality lead game-theoretic players to derive a private, subjective view of the game that may diverge from the underlying ground-truth scenario and may be misaligned with…

Artificial Intelligence · Computer Science 2025-12-16 Vince Trencsenyi

We study Recursive Concurrent Stochastic Games (RCSGs), extending our recent analysis of recursive simple stochastic games to a concurrent setting where the two players choose moves simultaneously and independently at each state. For…

Computer Science and Game Theory · Computer Science 2015-07-01 Kousha Etessami , Mihalis Yannakakis

We address the problem of mechanism design for two-stage repeated stochastic games -- a novel setting using which many emerging problems in next-generation electricity markets can be readily modeled. Repeated playing affords the players a…

Theoretical Economics · Economics 2022-10-20 Bharadwaj Satchidanandan , Munther A. Dahleh

We study the computational complexity of strategic behaviour in primary elections. Unlike direct voting systems, primaries introduce a multi-stage process in which voters first influence intra-party nominees before a general election…

Computer Science and Game Theory · Computer Science 2026-02-12 Colin Cleveland , Bart de Keijzer , Maria Polukarov

In this paper we introduce polytopal stochastic games, an extension of two-player, zero-sum, turn-based stochastic games, in which we may have uncertainty over the transition probabilities. In these games the uncertainty over the…

Logic in Computer Science · Computer Science 2025-02-26 Pablo F. Castro , Pedro D'Argenio

It is well-known that for infinitely repeated games, there are computable strategies that have best responses, but no computable best responses. These results were originally proved for either specific games (e.g., Prisoner's dilemma), or…

Computer Science and Game Theory · Computer Science 2020-06-11 Jakub Dargaj , Jakob Grue Simonsen

Entropic risk (ERisk) is an established risk measure in finance, quantifying risk by an exponential re-weighting of rewards. We study ERisk for the first time in the context of turn-based stochastic games with the total reward objective.…

Computer Science and Game Theory · Computer Science 2023-07-14 Christel Baier , Krishnendu Chatterjee , Tobias Meggendorfer , Jakob Piribauer

We propose a stochastic first-order algorithm to learn the rationality parameters of simultaneous and non-cooperative potential games, i.e., the parameters of the agents' optimization problems. Our technique combines (i.) an active-set step…

Optimization and Control · Mathematics 2023-07-31 Stefan Clarke , Gabriele Dragotto , Jaime Fernández Fisac , Bartolomeo Stellato

Stochastic games have become a prevalent framework for studying long-term multi-agent interactions, especially in the context of multi-agent reinforcement learning. In this work, we comprehensively investigate the concept of constant-memory…

Computer Science and Game Theory · Computer Science 2025-10-16 Fengming Zhu , Fangzhen Lin
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